SOLUTION: For the circle whose equation is x-squir + y-squir -5y-14 equal to 0. Find the coordinate of the center and the radius

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: For the circle whose equation is x-squir + y-squir -5y-14 equal to 0. Find the coordinate of the center and the radius      Log On


   

Question 1043573: For the circle whose equation is x-squir + y-squir -5y-14 equal to 0.
Find the coordinate of the center and the radius
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
For the circle whose equation is x-squir + y-squir -5y-14 equal to 0.
Find the coordinate of the center and the radius
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

You are given an equation of a curve

x%5E2+%2B+y%5E2+-+5y+-+14 = 0.

Complete the squares separately for "x" and "for "y".

x%5E2+%2B+%28y-2.5%29%5E2+-+6.25+-+14 = 0   ( I added and distracted the number 6.25:  y%5E2+-+5y = %28y%5E2+-+5y+%2B+6.25%29+-+6.25 = %28y-2.5%5E2%29+-+6.25 )

x%5E2+%2B+%28y-2.5%29%5E2+-+20.25 = 0,

x%5E2+%2B+%28y-2.5%29%5E2 = 20.25.

It is the equation of the circle with the center at the point (x,y) = (0, 2.5)  and the radius of sqrt%2820.25%29 = 4.5.

Answer.  the circle with the center at the point (x,y) = (0, 2.5)  and the radius of 4.5.